### Physics Problem: Elastic Collision and Projectile Motion**Problem Description:**A block with mass \( m_1 = 0.450 \,\text{kg} \) is released from rest on a frictionless track at a distance \( h_1 = 2.55 \,\text{m} \) above the top of a table. It then collides elastically with an object having mass \( m_2 = 0.900 \,\text{kg} \) that is initially at rest on the table, as shown in the figure below.**Diagram Explanation:**The diagram shows a curved frictionless track descending onto a flat table. - Block \( m_1 \) is initially placed at height \( h_1 \) above the table.- Block \( m_2 \) is initially at rest on the table.- After descending the track, Block \( m_1 \) collides elastically with Block \( m_2 \).- After collision, the trajectory of Block \( m_2 \) is displayed as a dashed arc on the right side of the table, landing at distance \( x \).**Questions:**(a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.)- \( v_1 = \) ____ m/s- \( v_2 = \) ____ m/s_(Note: The student's initial response was incorrect for \( v_1 \), suggesting a revision is required.)_(b) How high up the track does the \( 0.450 \,\text{kg} \) object travel back after the collision?- Height: ____ m(c) How far away from the bottom of the table does the \( 0.900 \,\text{kg} \) object land, given that the height of the table is \( h_2 = 1.50 \,\text{m} \)?- Distance: ____ m(d) How far away from the bottom of the table does the \( 0.450 \,\text{kg} \) object eventually land?- Distance: ____ mUse these questions to explore concepts such as energy conservation, momentum conservation, elastic collision dynamics, and projectile motion.

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A block with mass m, = 0.450 kg is released from rest on a frictionless track at a distance h, = 2.55 m above the top of a table. It then collides elastically with an object having mass m2 = 0.900 kg that is initially at rest on the table, as shown in the figure below. h h2 (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) Your response differs from the correct answer by more than 100%. m/s V2 = m/s (b) How high up the track does the 0.450-kg object travel back after the collision? m (c) How far away from the bottom of the table does the 0.900-kg object land, given that the height of the table is h, = 1.50 m? m

A block with mass m, = 0.450 kg is released from rest on a frictionless track at a distance h, = 2.55 m above the top of a table. It then collides elastically with an object having mass m2 = 0.900 kg that is initially at rest on the table, as shown in the figure below. h h2 (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) Your response differs from the correct answer by more than 100%. m/s V2 = m/s (b) How high up the track does the 0.450-kg object travel back after the collision? m (c) How far away from the bottom of the table does the 0.900-kg object land, given that the height of the table is h, = 1.50 m? m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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